In Bustin' Out mode, the people who you live with (who you can control) cannot get fired. If you want them to stay home, just let them. This can be very useful if you need them to clean up, or need them to do some other things.

If you do not want to keep a job, use this strategy. Stay with your mom to raise your skills then get a job. Make sure that you raise Creativity, Mechanical, and Cooking (slightly), because those are most important skills. Get a job, and if desired, get promotions to unlock places. When you get to a place that you think would suit you do not go to work. You will lose your job and perhaps a skill point, but you will keep playing. Since you already unlocked the places, you may now work on the necessary things. If your creativity and mechanical are at 10 (Logic also) you can make gnomes, sculptures, and mutant plants that will help you gain money. Once you have full skills in everything, work on making friends. Then, get a job and complete the other goals. This will enable you to unlock everything.